3(x+7)=5(2x-4)

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Solution for 3(x+7)=5(2x-4) equation:


Simplifying
3(x + 7) = 5(2x + -4)

Reorder the terms:
3(7 + x) = 5(2x + -4)
(7 * 3 + x * 3) = 5(2x + -4)
(21 + 3x) = 5(2x + -4)

Reorder the terms:
21 + 3x = 5(-4 + 2x)
21 + 3x = (-4 * 5 + 2x * 5)
21 + 3x = (-20 + 10x)

Solving
21 + 3x = -20 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
21 + 3x + -10x = -20 + 10x + -10x

Combine like terms: 3x + -10x = -7x
21 + -7x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -7x = -20 + 0
21 + -7x = -20

Add '-21' to each side of the equation.
21 + -21 + -7x = -20 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -20 + -21
-7x = -20 + -21

Combine like terms: -20 + -21 = -41
-7x = -41

Divide each side by '-7'.
x = 5.857142857

Simplifying
x = 5.857142857

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